Doubling the radius of a sphere results in increasing its volume by a factor of
A)2
B)4
C)8
D)8 p

Question

Quizplus · Accepted Answer

The volume of a sphere is calculated using the formula

V = (4/3)πr^3

If we double the radius (r), it becomes 2r.

So the new volume (V') would be:

V' = (4/3)π(2r)^3

= (4/3)π8r^3

= 8(4/3)πr^3

= 8V

So doubling the radius of a sphere results in increasing its volume by a factor of 8.

Therefore, the correct choice is C.

Doubling the Radius of a Sphere Results in Increasing Its